Section 8

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Harvard University *

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Mathematics

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Jan 9, 2024

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docx

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71. Solve the equation 3(5 −2)=393(5 x −2)=39 . Answer : =3 x =3 . 72. Calculate the value of y in the equation 2 3+7=15 32 y +7=15 . Answer : =12 y =12 . 73. Find the area of a triangle with base 1010 units and height 66 units. Answer : Area = 12×base×height=12×10×6=30 21 ×base×height= 21 ×10×6=30 square units. 74. Determine the value of z if 7 −5=587 z −5=58 . Answer : =9 z =9 . 75. Solve the equation 4 7−3=5 74 x −3=5 . Answer : =28 x =28 . 76. Evaluate the expression: 122+5×612 2 +5×6 . Answer : 122+5×6=144+30=17412 2 +5×6=144+30=174 . 77. Calculate the area of a circle with a radius of 99 units (use =3.14 π =3.14 ). Answer : Area = × 2=3.14×92=254.34 π × r 2 =3.14×9 2 =254.34 square units. 78. Solve the inequality: 6 +4>226 x +4>22 . Answer : >3 x >3 . 79. Find the slope of the line perpendicular to =−34 +2 y =− 43 x +2 . Answer : The slope of a line perpendicular to this line would be 43 34 . 80. Solve for y in the equation 13 +4=9 31 y +4=9 . Answer : =15 y =15 .
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